875405576760 has 256 divisors, whose sum is σ = 3098269440000. Its totient is φ = 195074396160.

The previous prime is 875405576741. The next prime is 875405576767. The reversal of 875405576760 is 67675504578.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 875405576694 and 875405576703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875405576767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3994516 + ... + 4207964.

It is an arithmetic number, because the mean of its divisors is an integer number (12102615000).

Almost surely, 2^875405576760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875405576760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549134720000).

875405576760 is an abundant number, since it is smaller than the sum of its proper divisors (2222863863240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

875405576760 is a wasteful number, since it uses less digits than its factorization.

875405576760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213726 (or 213722 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 875405576760 in words is "eight hundred seventy-five billion, four hundred five million, five hundred seventy-six thousand, seven hundred sixty".